| Description |
1 online resource (xii, 729 pages) : illustrations, portraits |
| Series |
Contemporary mathematicians |
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Contemporary mathematicians
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| Contents |
Foreword -- Part I.G.W. Stewart -- Biography of G.W. Stewart -- Publications, Honors, and Students -- Part II. Commentaries -- Introduction to the Commentaries -- Matrix Decompositions: LINPACK and Beyond -- Updating and Downdating Matrix Decompositions -- Least Squares, Projections, and Psuedo-Inverses -- The Eigenproblem and Invariant Subspaces: Perturbation Theory -- The SVD, Eigenproblem, and Invariant Subspaces: Algorithms -- The Generalized Eigenproblem -- Krylov Subspace Methods for the Eigenproblem -- Other Contributions -- References -- Index -- Part III. Reprints -- Papers on Matrix Decompositions -- Papers on Updating and Downdating Matrix Decompositions -- Papers on Least Squares, Projections, and Generalized Inverses -- Papers on the Eigenproblem and Invariant Subspaces: Perturbation Theory -- Papers on the SVD, Eigenproblem and Invariant Subspaces: Algorithms -- Papers on the Generalized Eigenproblem -- Papers on Krylov Subspace Methods for the Eigenproblem |
| Summary |
Stewart's results on rounding error in numerical computations provided basic understanding of floating-point computation. His results on perturbation of eigensystems, pseudo-inverses, least-squares problems, and matrix factorizations are fundamental to numerical practice today. His algorithms for the singular value decomposition, updating and downdating matrix factorizations, and the eigenproblem broke new ground and are still widely used in an increasing number of applications. Stewart's papers, widely cited, are characterized by elegance in theorems and algorithms and clear, concise, and beautiful exposition. His six popular textbooks are excellent sources of knowledge and history. Stewart is a member of the National Academy of Engineering and has received numerous additional honors, including the Bauer Prize. --Book Jacket |
| Bibliography |
Includes bibliographical references |
| Notes |
Print version record |
| Subject |
Stewart, G. W. (Gilbert W.)
|
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Perturbation (Mathematics)
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Matrices.
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MATHEMATICS -- Algebra -- Intermediate.
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Perturbación (Matemáticas)
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Matrices
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Matrices
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Perturbation (Mathematics)
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| Form |
Electronic book
|
| Author |
Kilmer, Misha Elena
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|
O'Leary, Dianne P
|
| ISBN |
9780817649685 |
|
0817649689 |
|
0817649670 |
|
9780817649678 |
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